25 research outputs found

    New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials

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    In a previous work, Zayed and Al-Nowehy have applied the Riccati equation mapping method combined with the generalized extended (G′/G)-expansion method and found new exact solutions of the nonlinear KPP equation. In the present article, we propose a different method, namely, a new sub-equation method consists of the Riccati equation mapping method and the (G′/G, 1/G)-expansion method to find new exact solutions of the perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials. This proposed method is not found elsewhere. Hyperbolic, trigonometric and rational function solutions are given. New solutions of the generalized Riccati equation are presented for the first time which are not reported previously. The solutions of the given nonlinear equation can be applied in ocean engineering for calculating the height of tides in the ocean. Keywords: New sub-equation method, (G′/G, 1/G)-expansion method, Generalized Riccati equation mapping method, Perturbed nonlinear Schrödinger equation, Exact solution

    An eerie note of caution from two papers of Mostafa M.A. Khater et al. and Sadaf Bibi et al. [Results in Physics, 7 (2017) 2325–2333 and 4440–4450.]

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    This note concerns the doubtful Khater method included in the above two papers. We show by simple calculation that Khater method is not true. The solutions of the proposed nonlinear equations in the above two papers are all not true too. Keywords: Khater method is wrong, The exact solutions in the above two papers are not righ

    The effect of feto-maternal blood type incompatibility on development of gestational diabetes mellitus

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    PubMed ID: 24770823Objective. To assess the relation between fetal and maternal blood type (ABO, Rh) incompatibility and development of gestational diabetes mellitus (GDM). Materials and Methods. A total of 500 pregnant women underwent diagnostic test for GDM by a 100-g oral glucose tolerance test (OGTT) after an 8 to 12-h overnight fast participated in this study. OGTT was performed between the 24-28 weeks of gestation, but participants who were at high risk for GDM were tested after the first prenatal visit. In the postpartum period, maternal and infant blood types were determined. Presence of GDM was evaluated in terms of matched and unmatched fetal and maternal ABO and Rh blood types separately. Results. GDM was detected in 235 participants. Unmatched ABO blood types between the mother-infant pairs were present in 44.7% (n=105) of GDM (+) and 35.8 % (n=95) of GDM (-) patients. Incompatible feto-maternal ABO blood type was positively correlated with development of GDM which was marginally significant. (p=0.045; R=1.2;95% CL; 1.004-1.48). However, Rh feto-maternal blood type incompatibility was not related with development of GDM. Conclusions. Feto-maternal ABO blood type incompatibility may be a weak risk factor for the development of GDM. © Società Editrice Universo (SEU)
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